Final answer:
The slope of a line passing through points G (-13, -4) and B (7, -12) is calculated using the slope formula, resulting in a slope of -2/5, which doesn't match any of the provided multiple-choice options.
Step-by-step explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated by the formula m = (y2 - y1) / (x2 - x1). In this case, the points are G (-13, -4) and B (7, -12). Plugging these coordinates into the formula gives us:
m = (-12 + 4) / (7 - (-13))
m = (-8) / (20)
m = -2/5
However, the question provides multiple-choice answers and none of them match our calculated value. It looks like there is a possible mistake in the options provided since none of them correspond to the calculated slope of -2/5.